Hasse-Weil zeta functions of character varieties of hyperbolic 3-manifolds (Algebraic Number Theory and Related Topics 2017)

• 原田, 新也

  Tokyo Denki University

抄録

The SL2(C)-character variety of a 3-manifold plays an important role in the study of 3-dimensional topology, which is known to be an algebraic set over the rational number field. This is a survey of the study of SL2-character varieties over Q and their zeta functions. In particular, there is an explicit relationship between special values of zeta functions at s = 2 and hyperbolic volumes for closed arithmetic hyperbolic 3-manifolds.

Algebraic Number Theory and Related Topics 2017. December 4-8, 2017. edited by Hiroshi Tsunogai, Takao Yamazaki and Yasushi Mizusawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

収録刊行物

• 数理解析研究所講究録別冊

  数理解析研究所講究録別冊 B83 3-10, 2020-10

  Research Institute for Mathematical Sciences, Kyoto University

キーワード

• 57M27
• 57M05
• 11R42
• Hyperbolic 3-manifold
• SL$_2$($mathbb{C}$)-character variety
• zeta function
• special value
• hyper-bolic volume

詳細情報

• CRID: 1050006210015555328
• NII論文ID: 120006950515
• NII書誌ID: AA12196120
• ISSN: 18816193
• HANDLE: 2433/260685
• 本文言語コード: en
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • CiNii Articles